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Finding the Fourth Proportional to 114,352.56, 171,575.82 and 47,806.74

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Solution

The fourth proportional to 114,352.56, 171,575.82 and 47,806.74 is: 71,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,352.56 : 171,575.82 = 47,806.74 : x
  2. Step 2: Convert to fraction form
    114,352.56/171,575.82 = 47,806.74/x
  3. Step 3: Cross multiply
    114,352.56x = 171,575.82 × 47,806.74
  4. Step 4: Simplify right side
    114,352.56x = 8,202,480,617.03
  5. Step 5: Solve for x
    x = 8,202,480,617.03/114,352.56
  6. Step 6: Final answer
    x = 71,729.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.